Adjoining roots to conjugacy separable groups
type: Item
instance of: scholarly article
title: Adjoining roots to conjugacy separable groups
zbMATH Open document ID: 0838.20036
author: Goansu Kim
author: C. Y. Tang
author: James McCarron
published in: Journal of Algebra
publication date: 1996-06-03T00:00:00Z
review text: Some conditions so that, by adjoining roots to a group in certain classes of conjugacy separable groups, the resulting group is again conjugacy separable, are obtained. The result is applied to show that all residually finite 1-relator groups of the form \(\langle a,b\mid (a^{-\alpha} b^\beta a^\alpha b^\gamma) \rangle\) as well as groups of the form \(\langle a,b\mid (a^{-\alpha} b^\beta a^\alpha b^\gamma)^s \rangle\), where \(s>1\), are conjugacy separable.
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 815913
zbMATH Keywords: adjoining roots
zbMATH Keywords: conjugacy separable groups
zbMATH Keywords: residually finite 1-relator groups
reviewed by: Pavel Zalesskij
MaRDI profile type: Publication
full work available at URL: jabr.1995.1247
OpenAlex ID: W2091335518
DOI: 10.1006/JABR.1995.1247
description: scientific article; zbMATH DE number 815913